Expression of type ExprTuple

from the theory of proveit.numbers.divisibility

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import Conditional, ExprTuple, Lambda, a, b, p
from proveit.logic import And, InSet, Not
from proveit.numbers import Divides, NaturalPos, greater, one

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(p, Conditional(Not(And(Divides(p, a), Divides(p, b))), And(InSet(p, NaturalPos), greater(p, one)))))

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(p \mapsto \left\{\lnot \left(\left(p \rvert a\right) \land \left(p \rvert b\right)\right) \textrm{ if } p \in \mathbb{N}^+ ,  p > 1\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 26 body: 3
2	ExprTuple	26
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operand: 9
5	Operation	operator: 12 operands: 8
6	Literal
7	ExprTuple	9
8	ExprTuple	10, 11
9	Operation	operator: 12 operands: 13
10	Operation	operator: 14 operands: 15
11	Operation	operator: 16 operands: 17
12	Literal
13	ExprTuple	18, 19
14	Literal
15	ExprTuple	26, 20
16	Literal
17	ExprTuple	21, 26
18	Operation	operator: 23 operands: 22
19	Operation	operator: 23 operands: 24
20	Literal
21	Literal
22	ExprTuple	26, 25
23	Literal
24	ExprTuple	26, 27
25	Variable
26	Variable
27	Variable